Note on Symplectic SVD-Like Decomposition

Agoujil Said, Bentbib Abdeslem Hafid
2016 New Trends in Mathematical Sciences  
The aim of this study was to introduce a constructive method to compute a symplectic singular value decomposition (SVDlike decomposition) of a 2n-by-m rectangular real matrix A, based on symplectic reflectors. This approach used a canonical Schur form of skew-symmetric matrix and it allowed us to compute eigenvalues for the structured matrices as Hamiltonian matrix JAA T .
doi:10.20852/ntmsci.2016116032 fatcat:4i7moq2kxnehrbjqfuxhphpcb4